Criterion for traffic phases in single vehicle data and empirical test of a microscopic three-phase traffic theory

Kerner, Boris S; Klenov, Sergey L; Hiller, Andreas · 2006 · OpenAlex-citations

DOI: 10.1088/0305-4470/39/9/002

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Summary

This paper addresses the challenge of empirically validating microscopic three-phase traffic theory, which posits that congested traffic consists of three distinct phases: free flow, synchronized flow, and wide moving jams. While macroscopic spatiotemporal criteria exist to distinguish these phases, such analysis requires data from multiple locations over time. The authors aim to establish a microscopic criterion based on single-vehicle data measured at a single freeway location, enabling the classification of traffic phases without extensive spatiotemporal coverage. This approach allows for a rigorous empirical test of microscopic traffic models against real-world data. The study utilizes single-vehicle data collected from double induction loop detectors on a two-lane section of the A92-West freeway near Munich Airport in Germany. The authors analyze data from four days exhibiting congested traffic, distinguishing between days with only synchronized flow and days with synchronized flow containing wide moving jams. They introduce a "traffic flow interruption effect" as a microscopic criterion: wide moving jams are characterized by a discontinuity in traffic flow where vehicles standstill or move negligibly, creating gross time headways significantly longer than the acceleration delay time. This criterion is applied to classify local congested states. Furthermore, the authors perform numerical simulations of a microscopic three-phase traffic model, using empirical traffic demand data as boundary conditions to generate spatiotemporal congested patterns. The results demonstrate that the microscopic criterion successfully distinguishes synchronized flow from wide moving jams in single-vehicle data. Specifically, wide moving jams exhibit distinct traffic flow interruptions, whereas synchronized flow does not. The study finds that traditional microscopic characteristics, such as optimal velocity functions and time headway distributions, are insufficient for distinguishing traffic phases because they average out critical spatiotemporal features. However, the simulations show that the microscopic three-phase model accurately reproduces empirical macroscopic patterns, including the probabilistic onset of congestion and the emergence of general patterns at bottlenecks. The model confirms that synchronized flow and wide moving jam phases identified via the microscopic criterion correspond to specific locations within the simulated spatiotemporal patterns. The significance of this work lies in providing a robust method for testing microscopic traffic models using limited empirical data. By establishing that microscopic criteria align with macroscopic spatiotemporal observations, the authors validate the microscopic three-phase traffic theory. The findings highlight that many standard traffic characteristics fail to capture the complex dynamics of congested traffic, whereas the three-phase framework explains both microscopic single-vehicle behaviors and macroscopic pattern evolution. This supports the theory's ability to model real-world traffic phenomena, such as the spontaneous emergence of wide moving jams within synchronized flow, thereby advancing the understanding of freeway traffic dynamics.

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• traffic density